"group" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- Nowadays they are still a fundamental tool to compute Galois groups.
- See the article on Galois groups for further explanation and examples.
- We can then find that this Galois group has a transposition.
- This means that the number of elements in the associated Galois group is 1.
- The absolute Galois group of an algebraically closed field is trivial.
- No direct description is known for the absolute Galois group of the rational numbers.
- However, for other solvable Galois groups, the form of the roots can be much more complex.
- It is thus necessary to have a notion of Galois group for an infinite algebraic extension.
- This means that the image of the Galois group in the representations is abelian.
- This Galois group has only two elements: and the identity on .
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